TSTP Solution File: SET597+3 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SET597+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Aug 22 10:56:39 EDT 2023

% Result   : Theorem 8.49s 3.17s
% Output   : CNFRefutation 8.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  109 (  43 unt;  13 typ;   0 def)
%            Number of atoms       :  205 (  31 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  214 ( 105   ~; 100   |;   5   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (   6   >;   6   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   44 (;  44   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ subset > member > union > #nlpp > #skF_7 > #skF_3 > #skF_10 > #skF_5 > #skF_6 > #skF_9 > #skF_8 > #skF_4 > #skF_2 > #skF_1

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(union,type,
    union: ( $i * $i ) > $i ).

tff('#skF_7',type,
    '#skF_7': $i ).

tff('#skF_3',type,
    '#skF_3': ( $i * $i ) > $i ).

tff('#skF_10',type,
    '#skF_10': $i ).

tff('#skF_5',type,
    '#skF_5': $i ).

tff(subset,type,
    subset: ( $i * $i ) > $o ).

tff(member,type,
    member: ( $i * $i ) > $o ).

tff('#skF_6',type,
    '#skF_6': $i ).

tff('#skF_9',type,
    '#skF_9': $i ).

tff('#skF_8',type,
    '#skF_8': $i ).

tff('#skF_4',type,
    '#skF_4': $i ).

tff('#skF_2',type,
    '#skF_2': ( $i * $i ) > $i ).

tff('#skF_1',type,
    '#skF_1': ( $i * $i ) > $i ).

tff(f_90,negated_conjecture,
    ~ ! [B,C,D] :
        ( ( B = union(C,D) )
      <=> ( subset(C,B)
          & subset(D,B)
          & ! [E] :
              ( ( subset(C,E)
                & subset(D,E) )
             => subset(B,E) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th56) ).

tff(f_32,axiom,
    ! [B,C] : subset(B,union(B,C)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_of_union) ).

tff(f_64,axiom,
    ! [B,C] : ( union(B,C) = union(C,B) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_union) ).

tff(f_39,axiom,
    ! [B,C,D] :
      ( ( subset(B,C)
        & subset(D,C) )
     => subset(union(B,D),C) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_subset) ).

tff(f_61,axiom,
    ! [B,C] :
      ( ( B = C )
    <=> ( subset(B,C)
        & subset(C,B) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_defn) ).

tff(c_68,plain,
    ( subset('#skF_6','#skF_4')
    | ( union('#skF_8','#skF_9') = '#skF_7' ) ),
    inference(cnfTransformation,[status(thm)],[f_90]) ).

tff(c_128,plain,
    union('#skF_8','#skF_9') = '#skF_7',
    inference(splitLeft,[status(thm)],[c_68]) ).

tff(c_2,plain,
    ! [B_1,C_2] : subset(B_1,union(B_1,C_2)),
    inference(cnfTransformation,[status(thm)],[f_32]) ).

tff(c_135,plain,
    subset('#skF_8','#skF_7'),
    inference(superposition,[status(thm),theory(equality)],[c_128,c_2]) ).

tff(c_79,plain,
    ! [C_30,B_31] : ( union(C_30,B_31) = union(B_31,C_30) ),
    inference(cnfTransformation,[status(thm)],[f_64]) ).

tff(c_94,plain,
    ! [B_31,C_30] : subset(B_31,union(C_30,B_31)),
    inference(superposition,[status(thm),theory(equality)],[c_79,c_2]) ).

tff(c_132,plain,
    subset('#skF_9','#skF_7'),
    inference(superposition,[status(thm),theory(equality)],[c_128,c_94]) ).

tff(c_60,plain,
    ( subset('#skF_6','#skF_4')
    | subset('#skF_8','#skF_10')
    | ~ subset('#skF_9','#skF_7')
    | ~ subset('#skF_8','#skF_7') ),
    inference(cnfTransformation,[status(thm)],[f_90]) ).

tff(c_184,plain,
    ( subset('#skF_6','#skF_4')
    | subset('#skF_8','#skF_10') ),
    inference(demodulation,[status(thm),theory(equality)],[c_135,c_132,c_60]) ).

tff(c_185,plain,
    subset('#skF_8','#skF_10'),
    inference(splitLeft,[status(thm)],[c_184]) ).

tff(c_54,plain,
    ( subset('#skF_5','#skF_4')
    | subset('#skF_9','#skF_10')
    | ~ subset('#skF_9','#skF_7')
    | ~ subset('#skF_8','#skF_7') ),
    inference(cnfTransformation,[status(thm)],[f_90]) ).

tff(c_335,plain,
    ( subset('#skF_5','#skF_4')
    | subset('#skF_9','#skF_10') ),
    inference(demodulation,[status(thm),theory(equality)],[c_135,c_132,c_54]) ).

tff(c_336,plain,
    subset('#skF_9','#skF_10'),
    inference(splitLeft,[status(thm)],[c_335]) ).

tff(c_383,plain,
    ! [B_69,D_70,C_71] :
      ( subset(union(B_69,D_70),C_71)
      | ~ subset(D_70,C_71)
      | ~ subset(B_69,C_71) ),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_2256,plain,
    ! [C_103] :
      ( subset('#skF_7',C_103)
      | ~ subset('#skF_9',C_103)
      | ~ subset('#skF_8',C_103) ),
    inference(superposition,[status(thm),theory(equality)],[c_128,c_383]) ).

tff(c_44,plain,
    ( subset('#skF_6','#skF_4')
    | ~ subset('#skF_7','#skF_10')
    | ~ subset('#skF_9','#skF_7')
    | ~ subset('#skF_8','#skF_7') ),
    inference(cnfTransformation,[status(thm)],[f_90]) ).

tff(c_551,plain,
    ( subset('#skF_6','#skF_4')
    | ~ subset('#skF_7','#skF_10') ),
    inference(demodulation,[status(thm),theory(equality)],[c_135,c_132,c_44]) ).

tff(c_552,plain,
    ~ subset('#skF_7','#skF_10'),
    inference(splitLeft,[status(thm)],[c_551]) ).

tff(c_2262,plain,
    ( ~ subset('#skF_9','#skF_10')
    | ~ subset('#skF_8','#skF_10') ),
    inference(resolution,[status(thm)],[c_2256,c_552]) ).

tff(c_2280,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_185,c_336,c_2262]) ).

tff(c_2281,plain,
    subset('#skF_6','#skF_4'),
    inference(splitRight,[status(thm)],[c_551]) ).

tff(c_2282,plain,
    subset('#skF_7','#skF_10'),
    inference(splitRight,[status(thm)],[c_551]) ).

tff(c_46,plain,
    ( subset('#skF_5','#skF_4')
    | ~ subset('#skF_7','#skF_10')
    | ~ subset('#skF_9','#skF_7')
    | ~ subset('#skF_8','#skF_7') ),
    inference(cnfTransformation,[status(thm)],[f_90]) ).

tff(c_2588,plain,
    subset('#skF_5','#skF_4'),
    inference(demodulation,[status(thm),theory(equality)],[c_135,c_132,c_2282,c_46]) ).

tff(c_4,plain,
    ! [B_3,D_5,C_4] :
      ( subset(union(B_3,D_5),C_4)
      | ~ subset(D_5,C_4)
      | ~ subset(B_3,C_4) ),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_24,plain,
    ! [C_17,B_16] : ( union(C_17,B_16) = union(B_16,C_17) ),
    inference(cnfTransformation,[status(thm)],[f_64]) ).

tff(c_40,plain,
    ( ( union('#skF_5','#skF_6') != '#skF_4' )
    | ~ subset('#skF_7','#skF_10')
    | ~ subset('#skF_9','#skF_7')
    | ~ subset('#skF_8','#skF_7') ),
    inference(cnfTransformation,[status(thm)],[f_90]) ).

tff(c_73,plain,
    ( ( union('#skF_6','#skF_5') != '#skF_4' )
    | ~ subset('#skF_7','#skF_10')
    | ~ subset('#skF_9','#skF_7')
    | ~ subset('#skF_8','#skF_7') ),
    inference(demodulation,[status(thm),theory(equality)],[c_24,c_40]) ).

tff(c_2939,plain,
    union('#skF_6','#skF_5') != '#skF_4',
    inference(demodulation,[status(thm),theory(equality)],[c_135,c_132,c_2282,c_73]) ).

tff(c_42,plain,
    ! [E_25] :
      ( subset('#skF_4',E_25)
      | ~ subset('#skF_6',E_25)
      | ~ subset('#skF_5',E_25)
      | ~ subset('#skF_7','#skF_10')
      | ~ subset('#skF_9','#skF_7')
      | ~ subset('#skF_8','#skF_7') ),
    inference(cnfTransformation,[status(thm)],[f_90]) ).

tff(c_2793,plain,
    ! [E_108] :
      ( subset('#skF_4',E_108)
      | ~ subset('#skF_6',E_108)
      | ~ subset('#skF_5',E_108) ),
    inference(demodulation,[status(thm),theory(equality)],[c_135,c_132,c_2282,c_42]) ).

tff(c_4460,plain,
    ! [C_147] :
      ( subset('#skF_4',union('#skF_5',C_147))
      | ~ subset('#skF_6',union('#skF_5',C_147)) ),
    inference(resolution,[status(thm)],[c_2,c_2793]) ).

tff(c_4479,plain,
    subset('#skF_4',union('#skF_5','#skF_6')),
    inference(resolution,[status(thm)],[c_94,c_4460]) ).

tff(c_4495,plain,
    subset('#skF_4',union('#skF_6','#skF_5')),
    inference(demodulation,[status(thm),theory(equality)],[c_24,c_4479]) ).

tff(c_18,plain,
    ! [C_15,B_14] :
      ( ( C_15 = B_14 )
      | ~ subset(C_15,B_14)
      | ~ subset(B_14,C_15) ),
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_4503,plain,
    ( ( union('#skF_6','#skF_5') = '#skF_4' )
    | ~ subset(union('#skF_6','#skF_5'),'#skF_4') ),
    inference(resolution,[status(thm)],[c_4495,c_18]) ).

tff(c_4508,plain,
    ~ subset(union('#skF_6','#skF_5'),'#skF_4'),
    inference(negUnitSimplification,[status(thm)],[c_2939,c_4503]) ).

tff(c_4511,plain,
    ( ~ subset('#skF_5','#skF_4')
    | ~ subset('#skF_6','#skF_4') ),
    inference(resolution,[status(thm)],[c_4,c_4508]) ).

tff(c_4515,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_2281,c_2588,c_4511]) ).

tff(c_4517,plain,
    ~ subset('#skF_9','#skF_10'),
    inference(splitRight,[status(thm)],[c_335]) ).

tff(c_52,plain,
    ( subset('#skF_6','#skF_4')
    | subset('#skF_9','#skF_10')
    | ~ subset('#skF_9','#skF_7')
    | ~ subset('#skF_8','#skF_7') ),
    inference(cnfTransformation,[status(thm)],[f_90]) ).

tff(c_4993,plain,
    ( subset('#skF_6','#skF_4')
    | subset('#skF_9','#skF_10') ),
    inference(demodulation,[status(thm),theory(equality)],[c_135,c_132,c_52]) ).

tff(c_4994,plain,
    subset('#skF_6','#skF_4'),
    inference(negUnitSimplification,[status(thm)],[c_4517,c_4993]) ).

tff(c_4516,plain,
    subset('#skF_5','#skF_4'),
    inference(splitRight,[status(thm)],[c_335]) ).

tff(c_48,plain,
    ( ( union('#skF_5','#skF_6') != '#skF_4' )
    | subset('#skF_9','#skF_10')
    | ~ subset('#skF_9','#skF_7')
    | ~ subset('#skF_8','#skF_7') ),
    inference(cnfTransformation,[status(thm)],[f_90]) ).

tff(c_72,plain,
    ( ( union('#skF_6','#skF_5') != '#skF_4' )
    | subset('#skF_9','#skF_10')
    | ~ subset('#skF_9','#skF_7')
    | ~ subset('#skF_8','#skF_7') ),
    inference(demodulation,[status(thm),theory(equality)],[c_24,c_48]) ).

tff(c_6447,plain,
    ( ( union('#skF_6','#skF_5') != '#skF_4' )
    | subset('#skF_9','#skF_10') ),
    inference(demodulation,[status(thm),theory(equality)],[c_135,c_132,c_72]) ).

tff(c_6448,plain,
    union('#skF_6','#skF_5') != '#skF_4',
    inference(negUnitSimplification,[status(thm)],[c_4517,c_6447]) ).

tff(c_50,plain,
    ! [E_25] :
      ( subset('#skF_4',E_25)
      | ~ subset('#skF_6',E_25)
      | ~ subset('#skF_5',E_25)
      | subset('#skF_9','#skF_10')
      | ~ subset('#skF_9','#skF_7')
      | ~ subset('#skF_8','#skF_7') ),
    inference(cnfTransformation,[status(thm)],[f_90]) ).

tff(c_6102,plain,
    ! [E_25] :
      ( subset('#skF_4',E_25)
      | ~ subset('#skF_6',E_25)
      | ~ subset('#skF_5',E_25)
      | subset('#skF_9','#skF_10') ),
    inference(demodulation,[status(thm),theory(equality)],[c_135,c_132,c_50]) ).

tff(c_6104,plain,
    ! [E_181] :
      ( subset('#skF_4',E_181)
      | ~ subset('#skF_6',E_181)
      | ~ subset('#skF_5',E_181) ),
    inference(negUnitSimplification,[status(thm)],[c_4517,c_6102]) ).

tff(c_7568,plain,
    ! [C_220] :
      ( subset('#skF_4',union(C_220,'#skF_5'))
      | ~ subset('#skF_6',union(C_220,'#skF_5')) ),
    inference(resolution,[status(thm)],[c_94,c_6104]) ).

tff(c_7612,plain,
    subset('#skF_4',union('#skF_6','#skF_5')),
    inference(resolution,[status(thm)],[c_2,c_7568]) ).

tff(c_7620,plain,
    ( ( union('#skF_6','#skF_5') = '#skF_4' )
    | ~ subset(union('#skF_6','#skF_5'),'#skF_4') ),
    inference(resolution,[status(thm)],[c_7612,c_18]) ).

tff(c_7625,plain,
    ~ subset(union('#skF_6','#skF_5'),'#skF_4'),
    inference(negUnitSimplification,[status(thm)],[c_6448,c_7620]) ).

tff(c_7628,plain,
    ( ~ subset('#skF_5','#skF_4')
    | ~ subset('#skF_6','#skF_4') ),
    inference(resolution,[status(thm)],[c_4,c_7625]) ).

tff(c_7632,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_4994,c_4516,c_7628]) ).

tff(c_7633,plain,
    subset('#skF_6','#skF_4'),
    inference(splitRight,[status(thm)],[c_184]) ).

tff(c_7634,plain,
    ~ subset('#skF_8','#skF_10'),
    inference(splitRight,[status(thm)],[c_184]) ).

tff(c_62,plain,
    ( subset('#skF_5','#skF_4')
    | subset('#skF_8','#skF_10')
    | ~ subset('#skF_9','#skF_7')
    | ~ subset('#skF_8','#skF_7') ),
    inference(cnfTransformation,[status(thm)],[f_90]) ).

tff(c_8066,plain,
    ( subset('#skF_5','#skF_4')
    | subset('#skF_8','#skF_10') ),
    inference(demodulation,[status(thm),theory(equality)],[c_135,c_132,c_62]) ).

tff(c_8067,plain,
    subset('#skF_5','#skF_4'),
    inference(negUnitSimplification,[status(thm)],[c_7634,c_8066]) ).

tff(c_56,plain,
    ( ( union('#skF_5','#skF_6') != '#skF_4' )
    | subset('#skF_8','#skF_10')
    | ~ subset('#skF_9','#skF_7')
    | ~ subset('#skF_8','#skF_7') ),
    inference(cnfTransformation,[status(thm)],[f_90]) ).

tff(c_74,plain,
    ( ( union('#skF_6','#skF_5') != '#skF_4' )
    | subset('#skF_8','#skF_10')
    | ~ subset('#skF_9','#skF_7')
    | ~ subset('#skF_8','#skF_7') ),
    inference(demodulation,[status(thm),theory(equality)],[c_24,c_56]) ).

tff(c_9310,plain,
    ( ( union('#skF_6','#skF_5') != '#skF_4' )
    | subset('#skF_8','#skF_10') ),
    inference(demodulation,[status(thm),theory(equality)],[c_135,c_132,c_74]) ).

tff(c_9311,plain,
    union('#skF_6','#skF_5') != '#skF_4',
    inference(negUnitSimplification,[status(thm)],[c_7634,c_9310]) ).

tff(c_58,plain,
    ! [E_25] :
      ( subset('#skF_4',E_25)
      | ~ subset('#skF_6',E_25)
      | ~ subset('#skF_5',E_25)
      | subset('#skF_8','#skF_10')
      | ~ subset('#skF_9','#skF_7')
      | ~ subset('#skF_8','#skF_7') ),
    inference(cnfTransformation,[status(thm)],[f_90]) ).

tff(c_8847,plain,
    ! [E_25] :
      ( subset('#skF_4',E_25)
      | ~ subset('#skF_6',E_25)
      | ~ subset('#skF_5',E_25)
      | subset('#skF_8','#skF_10') ),
    inference(demodulation,[status(thm),theory(equality)],[c_135,c_132,c_58]) ).

tff(c_8849,plain,
    ! [E_274] :
      ( subset('#skF_4',E_274)
      | ~ subset('#skF_6',E_274)
      | ~ subset('#skF_5',E_274) ),
    inference(negUnitSimplification,[status(thm)],[c_7634,c_8847]) ).

tff(c_9888,plain,
    ! [C_288] :
      ( subset('#skF_4',union(C_288,'#skF_5'))
      | ~ subset('#skF_6',union(C_288,'#skF_5')) ),
    inference(resolution,[status(thm)],[c_94,c_8849]) ).

tff(c_9932,plain,
    subset('#skF_4',union('#skF_6','#skF_5')),
    inference(resolution,[status(thm)],[c_2,c_9888]) ).

tff(c_9940,plain,
    ( ( union('#skF_6','#skF_5') = '#skF_4' )
    | ~ subset(union('#skF_6','#skF_5'),'#skF_4') ),
    inference(resolution,[status(thm)],[c_9932,c_18]) ).

tff(c_9945,plain,
    ~ subset(union('#skF_6','#skF_5'),'#skF_4'),
    inference(negUnitSimplification,[status(thm)],[c_9311,c_9940]) ).

tff(c_9948,plain,
    ( ~ subset('#skF_5','#skF_4')
    | ~ subset('#skF_6','#skF_4') ),
    inference(resolution,[status(thm)],[c_4,c_9945]) ).

tff(c_9952,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_7633,c_8067,c_9948]) ).

tff(c_9953,plain,
    subset('#skF_6','#skF_4'),
    inference(splitRight,[status(thm)],[c_68]) ).

tff(c_9954,plain,
    union('#skF_8','#skF_9') != '#skF_7',
    inference(splitRight,[status(thm)],[c_68]) ).

tff(c_70,plain,
    ( subset('#skF_5','#skF_4')
    | ( union('#skF_8','#skF_9') = '#skF_7' ) ),
    inference(cnfTransformation,[status(thm)],[f_90]) ).

tff(c_9955,plain,
    subset('#skF_5','#skF_4'),
    inference(negUnitSimplification,[status(thm)],[c_9954,c_70]) ).

tff(c_64,plain,
    ( ( union('#skF_5','#skF_6') != '#skF_4' )
    | ( union('#skF_8','#skF_9') = '#skF_7' ) ),
    inference(cnfTransformation,[status(thm)],[f_90]) ).

tff(c_71,plain,
    ( ( union('#skF_6','#skF_5') != '#skF_4' )
    | ( union('#skF_8','#skF_9') = '#skF_7' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_24,c_64]) ).

tff(c_9969,plain,
    union('#skF_6','#skF_5') != '#skF_4',
    inference(negUnitSimplification,[status(thm)],[c_9954,c_71]) ).

tff(c_66,plain,
    ! [E_25] :
      ( subset('#skF_4',E_25)
      | ~ subset('#skF_6',E_25)
      | ~ subset('#skF_5',E_25)
      | ( union('#skF_8','#skF_9') = '#skF_7' ) ),
    inference(cnfTransformation,[status(thm)],[f_90]) ).

tff(c_11153,plain,
    ! [E_341] :
      ( subset('#skF_4',E_341)
      | ~ subset('#skF_6',E_341)
      | ~ subset('#skF_5',E_341) ),
    inference(negUnitSimplification,[status(thm)],[c_9954,c_66]) ).

tff(c_11748,plain,
    ! [C_354] :
      ( subset('#skF_4',union('#skF_5',C_354))
      | ~ subset('#skF_6',union('#skF_5',C_354)) ),
    inference(resolution,[status(thm)],[c_2,c_11153]) ).

tff(c_11775,plain,
    subset('#skF_4',union('#skF_5','#skF_6')),
    inference(resolution,[status(thm)],[c_94,c_11748]) ).

tff(c_11793,plain,
    subset('#skF_4',union('#skF_6','#skF_5')),
    inference(demodulation,[status(thm),theory(equality)],[c_24,c_11775]) ).

tff(c_11801,plain,
    ( ( union('#skF_6','#skF_5') = '#skF_4' )
    | ~ subset(union('#skF_6','#skF_5'),'#skF_4') ),
    inference(resolution,[status(thm)],[c_11793,c_18]) ).

tff(c_11806,plain,
    ~ subset(union('#skF_6','#skF_5'),'#skF_4'),
    inference(negUnitSimplification,[status(thm)],[c_9969,c_11801]) ).

tff(c_11809,plain,
    ( ~ subset('#skF_5','#skF_4')
    | ~ subset('#skF_6','#skF_4') ),
    inference(resolution,[status(thm)],[c_4,c_11806]) ).

tff(c_11813,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_9953,c_9955,c_11809]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET597+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu Aug  3 16:38:37 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 8.49/3.17  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.49/3.18  
% 8.49/3.18  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.74/3.22  
% 8.74/3.22  Inference rules
% 8.74/3.22  ----------------------
% 8.74/3.22  #Ref     : 0
% 8.74/3.22  #Sup     : 2954
% 8.74/3.22  #Fact    : 0
% 8.74/3.22  #Define  : 0
% 8.74/3.22  #Split   : 23
% 8.74/3.22  #Chain   : 0
% 8.74/3.22  #Close   : 0
% 8.74/3.22  
% 8.74/3.22  Ordering : KBO
% 8.74/3.22  
% 8.74/3.22  Simplification rules
% 8.74/3.22  ----------------------
% 8.74/3.22  #Subsume      : 562
% 8.74/3.22  #Demod        : 2744
% 8.74/3.22  #Tautology    : 1720
% 8.74/3.22  #SimpNegUnit  : 21
% 8.74/3.22  #BackRed      : 0
% 8.74/3.22  
% 8.74/3.22  #Partial instantiations: 0
% 8.74/3.22  #Strategies tried      : 1
% 8.74/3.22  
% 8.74/3.22  Timing (in seconds)
% 8.74/3.22  ----------------------
% 8.74/3.22  Preprocessing        : 0.53
% 8.74/3.22  Parsing              : 0.27
% 8.74/3.22  CNF conversion       : 0.04
% 8.74/3.22  Main loop            : 1.57
% 8.74/3.22  Inferencing          : 0.55
% 8.74/3.22  Reduction            : 0.58
% 8.74/3.22  Demodulation         : 0.45
% 8.74/3.22  BG Simplification    : 0.05
% 8.74/3.22  Subsumption          : 0.29
% 8.74/3.23  Abstraction          : 0.05
% 8.74/3.23  MUC search           : 0.00
% 8.74/3.23  Cooper               : 0.00
% 8.74/3.23  Total                : 2.16
% 8.74/3.23  Index Insertion      : 0.00
% 8.74/3.23  Index Deletion       : 0.00
% 8.74/3.23  Index Matching       : 0.00
% 8.74/3.23  BG Taut test         : 0.00
%------------------------------------------------------------------------------